IJPAM: Volume 96, No. 2 (2014)

NUMERICAL STUDY OF NATURAL CONVECTION IN
POROUS SQUARE ENCLOSURE NON-UNIFORMLY
HEATED FROM THE PARTITIONS

Paweena Khansila$^1$, Supot Witayangkurn$^2$
$^{1,2}$Department of Mathematics
Faculty of Science
Khon Kaen University
Khon Kaen, 40002, THAILAND
$^{1,2}$Centre of Excellence in Mathematics
CHE, Si Ayutthaya Rd., Bangkok 10400, THAILAND


Abstract. Numerical study has been performed to investigate the effects of location and height for the partitions located on the bottom wall of a square enclosure filled with porous media. This study starts considering the simplest enclosure with two partitions. The partitions are non-uniformly heated. The left and the top wall are cooled while the right and the bottom wall are adiabatic well. The location and height of two partitions are considered. The interested parameters are Darcy number ($Da$) from $10^{-5}$ to $10^{-1}$ , the value of Rayleigh number($Ra$) is fixed at $10^5$ and the Prandtl number ($Pr$) is 0.71. The results are presented in forms of streamlines, isotherms and heatlines. It can be found that the flow field is single cell when the height of the partitions is less than 0.5. The flow field and heat transfer increase when the value of Darcy number is increased.

Received: April 11, 2014

AMS Subject Classification: 74S05, 76D05, 76R10, 76S05, 80A20

Key Words and Phrases: natural convection, non-uniformly temperature, porous media, partition enclosure

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DOI: 10.12732/ijpam.v96i2.5 How to cite this paper?

Source:
International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2014
Volume: 96
Issue: 2
Pages: 213 - 228


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